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4889970432 = 2833897949
BaseRepresentation
bin1001000110111011…
…10000011100000000
3110121210100020101000
410203131300130000
540003313023212
62125121012000
7232115030364
oct44335603400
913553306330
104889970432
11208a296186
12b45784000
135cc115c39
1434561d2a4
151d94701dc
hex123770700

4889970432 has 144 divisors (see below), whose sum is σ = 14624820000. Its totient is φ = 1611472896.

The previous prime is 4889970413. The next prime is 4889970439. The reversal of 4889970432 is 2340799884.

4889970432 is a `hidden beast` number, since 48 + 89 + 97 + 0 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4889970439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611194 + ... + 619142.

It is an arithmetic number, because the mean of its divisors is an integer number (101561250).

Almost surely, 24889970432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4889970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312410000).

4889970432 is an abundant number, since it is smaller than the sum of its proper divisors (9734849568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4889970432 is an equidigital number, since it uses as much as digits as its factorization.

4889970432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8063 (or 8043 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 4889970432 is about 69928.3235320281. The cubic root of 4889970432 is about 1697.3396025936.

The spelling of 4889970432 in words is "four billion, eight hundred eighty-nine million, nine hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 89 96 108 128 144 178 192 216 256 267 288 356 384 432 534 576 712 768 801 864 1068 1152 1424 1602 1728 2136 2304 2403 2848 3204 3456 4272 4806 5696 6408 6912 7949 8544 9612 11392 12816 15898 17088 19224 22784 23847 25632 31796 34176 38448 47694 51264 63592 68352 71541 76896 95388 102528 127184 143082 153792 190776 205056 214623 254368 286164 307584 381552 429246 508736 572328 615168 707461 763104 858492 1017472 1144656 1414922 1526208 1716984 2034944 2122383 2289312 2829844 3052416 3433968 4244766 4578624 5659688 6104832 6367149 6867936 8489532 9157248 11319376 12734298 13735872 16979064 18314496 19101447 22638752 25468596 27471744 33958128 38202894 45277504 50937192 54943488 67916256 76405788 90555008 101874384 135832512 152811576 181110016 203748768 271665024 305623152 407497536 543330048 611246304 814995072 1222492608 1629990144 2444985216 4889970432