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4579697940 = 2235377926113
BaseRepresentation
bin1000100001111100…
…01010010100010100
3102211011111202112020
410100332022110110
533334400313230
62034234453140
7221326535016
oct42076122424
912734452466
104579697940
111a40135934
12a798941b0
1357ca5c54c
143163341b6
151bc0d2810
hex110f8a514

4579697940 has 96 divisors (see below), whose sum is σ = 13336942080. Its totient is φ = 1173159936.

The previous prime is 4579697887. The next prime is 4579697953. The reversal of 4579697940 is 497969754.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 162324 + ... + 188436.

It is an arithmetic number, because the mean of its divisors is an integer number (138926480).

Almost surely, 24579697940 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 4579697940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668471040).

4579697940 is an abundant number, since it is smaller than the sum of its proper divisors (8757244140).

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

4579697940 is a wasteful number, since it uses less digits than its factorization.

4579697940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26241 (or 26239 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The square root of 4579697940 is about 67673.4655533467. The cubic root of 4579697940 is about 1660.6531928860.

The spelling of 4579697940 in words is "four billion, five hundred seventy-nine million, six hundred ninety-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 79 111 148 158 185 222 237 316 370 395 444 474 555 740 790 948 1110 1185 1580 2220 2370 2923 4740 5846 8769 11692 14615 17538 26113 29230 35076 43845 52226 58460 78339 87690 104452 130565 156678 175380 261130 313356 391695 522260 783390 966181 1566780 1932362 2062927 2898543 3864724 4125854 4830905 5797086 6188781 8251708 9661810 10314635 11594172 12377562 14492715 19323620 20629270 24755124 28985430 30943905 41258540 57970860 61887810 76328299 123775620 152656598 228984897 305313196 381641495 457969794 763282990 915939588 1144924485 1526565980 2289848970 4579697940