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402968928 = 2536168813
BaseRepresentation
bin11000000001001…
…101000101100000
31001002020221110010
4120001031011200
51311130001203
6103553004520
712662115345
oct3001150540
91032227403
10402968928
1119751357a
12b2b53740
1365640a6b
143b7387cc
152559d303
hex1804d160

402968928 has 48 divisors (see below), whose sum is σ = 1075149936. Its totient is φ = 132119040.

The previous prime is 402968927. The next prime is 402968933. The reversal of 402968928 is 829869204.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402968921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28551 + ... + 40262.

It is an arithmetic number, because the mean of its divisors is an integer number (22398957).

Almost surely, 2402968928 is an apocalyptic number.

402968928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

402968928 is an abundant number, since it is smaller than the sum of its proper divisors (672181008).

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

402968928 is a wasteful number, since it uses less digits than its factorization.

402968928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68887 (or 68879 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 402968928 is about 20074.0859816830. The cubic root of 402968928 is about 738.6247454708.

The spelling of 402968928 in words is "four hundred two million, nine hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 68813 137626 206439 275252 412878 550504 825756 1101008 1651512 2202016 3303024 4197593 6606048 8395186 12592779 16790372 25185558 33580744 50371116 67161488 100742232 134322976 201484464 402968928