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402945640 = 23529993359
BaseRepresentation
bin11000000001000…
…111011001101000
31001002012202111121
4120001013121220
51311123230030
6103552305024
712661660426
oct3001073150
91032182447
10402945640
111974a8029
12b2b42174
1365633296
143b730116
152559647a
hex18047668

402945640 has 32 divisors (see below), whose sum is σ = 907200000. Its totient is φ = 161076544.

The previous prime is 402945637. The next prime is 402945643. The reversal of 402945640 is 46549204.

It is an interprime number because it is at equal distance from previous prime (402945637) and next prime (402945643).

It is a junction number, because it is equal to n+sod(n) for n = 402945596 and 402945605.

It is not an unprimeable number, because it can be changed into a prime (402945643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118281 + ... + 121639.

It is an arithmetic number, because the mean of its divisors is an integer number (28350000).

Almost surely, 2402945640 is an apocalyptic number.

402945640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402945640 is an abundant number, since it is smaller than the sum of its proper divisors (504254360).

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

402945640 is a wasteful number, since it uses less digits than its factorization.

402945640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6365 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 402945640 is about 20073.5059219858. The cubic root of 402945640 is about 738.6105165620.

The spelling of 402945640 in words is "four hundred two million, nine hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2999 3359 5998 6718 11996 13436 14995 16795 23992 26872 29990 33590 59980 67180 119960 134360 10073641 20147282 40294564 50368205 80589128 100736410 201472820 402945640