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400471512 = 233721917923
BaseRepresentation
bin10111110111101…
…011010111011000
31000220120001122020
4113313223113120
51310010042022
6103423254440
712631644300
oct2767532730
91026501566
10400471512
111960681a1
12b214a420
1364c780bc
143b288600
152525835c
hex17deb5d8

400471512 has 96 divisors (see below), whose sum is σ = 1226001600. Its totient is φ = 108392256.

The previous prime is 400471483. The next prime is 400471517. The reversal of 400471512 is 215174004.

It is a super-2 number, since 2×4004715122 = 320754863847132288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400471517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13383 + ... + 31305.

It is an arithmetic number, because the mean of its divisors is an integer number (12770850).

Almost surely, 2400471512 is an apocalyptic number.

400471512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400471512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613000800).

400471512 is an abundant number, since it is smaller than the sum of its proper divisors (825530088).

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

400471512 is a wasteful number, since it uses less digits than its factorization.

400471512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17965 (or 17954 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 400471512 is about 20011.7843282402. The cubic root of 400471512 is about 737.0956968893.

The spelling of 400471512 in words is "four hundred million, four hundred seventy-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3192 3724 5586 7448 11172 17923 22344 35846 53769 71692 107538 125461 143384 215076 250922 340537 376383 430152 501844 681074 752766 878227 1003688 1021611 1362148 1505532 1756454 2043222 2383759 2634681 2724296 3011064 3512908 4086444 4767518 5269362 7025816 7151277 8172888 9535036 10538724 14302554 16686313 19070072 21077448 28605108 33372626 50058939 57210216 66745252 100117878 133490504 200235756 400471512