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4445010432 = 293611909
BaseRepresentation
bin1000010001111000…
…10111101000000000
3102110210001221000000
410020330113220000
533100410313212
62013024000000
7215102652042
oct41074275000
912423057000
104445010432
111981102145
12a40760000
1355ab922b5
143024b3a92
151b037a1dc
hex108f17a00

4445010432 has 140 divisors (see below), whose sum is σ = 13317035490. Its totient is φ = 1481545728.

The previous prime is 4445010421. The next prime is 4445010457. The reversal of 4445010432 is 2340105444.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4032758016 + 412252416 = 63504^2 + 20304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4445010396 and 4445010405.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 367294 + ... + 379202.

Almost surely, 24445010432 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 4445010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658517745).

4445010432 is an abundant number, since it is smaller than the sum of its proper divisors (8872025058).

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

4445010432 is an frugal number, since it uses more digits than its factorization.

4445010432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11945 (or 11914 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4445010432 is about 66670.9114381977. The cubic root of 4445010432 is about 1644.2111721917.

Adding to 4445010432 its reverse (2340105444), we get a palindrome (6785115876).

The spelling of 4445010432 in words is "four billion, four hundred forty-five million, ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 10368 11664 11909 13824 15552 20736 23328 23818 31104 35727 41472 46656 47636 62208 71454 93312 95272 107181 124416 142908 186624 190544 214362 285816 321543 373248 381088 428724 571632 643086 762176 857448 964629 1143264 1286172 1524352 1714896 1929258 2286528 2572344 2893887 3048704 3429792 3858516 4573056 5144688 5787774 6097408 6859584 7717032 8681661 9146112 10289376 11575548 13719168 15434064 17363322 18292224 20578752 23151096 27438336 30868128 34726644 41157504 46302192 54876672 61736256 69453288 82315008 92604384 123472512 138906576 164630016 185208768 246945024 277813152 370417536 493890048 555626304 740835072 1111252608 1481670144 2222505216 4445010432