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2401696432 = 242314943801
BaseRepresentation
bin1000111100100110…
…1111101010110000
320012101012211010201
42033021233222300
514404313241212
61034152404544
7113342040262
oct21711575260
96171184121
102401696432
111022771093
125703a6754
132c3760b65
1418ad81b32
15e0cadb57
hex8f26fab0

2401696432 has 40 divisors (see below), whose sum is σ = 4888303200. Its totient is φ = 1140902400.

The previous prime is 2401696399. The next prime is 2401696469. The reversal of 2401696432 is 2346961042.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2401696391 and 2401696400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32932 + ... + 76732.

It is an arithmetic number, because the mean of its divisors is an integer number (122207580).

Almost surely, 22401696432 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 2401696432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444151600).

2401696432 is an abundant number, since it is smaller than the sum of its proper divisors (2486606768).

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

2401696432 is a wasteful number, since it uses less digits than its factorization.

2401696432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43981 (or 43975 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 2401696432 is about 49007.1059337317. The cubic root of 2401696432 is about 1339.1812834997.

The spelling of 2401696432 in words is "two billion, four hundred one million, six hundred ninety-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 92 149 184 298 368 596 1192 2384 3427 6854 13708 27416 43801 54832 87602 175204 350408 700816 1007423 2014846 4029692 6526349 8059384 13052698 16118768 26105396 52210792 104421584 150106027 300212054 600424108 1200848216 2401696432