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400552152 = 2337111316673
BaseRepresentation
bin10111110111111…
…111000011011000
31000220201011020220
4113313333003120
51310020132102
6103425120040
712632431350
oct2767770330
91026634226
10400552152
11196112840
12b2189020
1364ca5a10
143b2a9b60
15252721bc
hex17dff0d8

400552152 has 128 divisors (see below), whose sum is σ = 1344591360. Its totient is φ = 96030720.

The previous prime is 400552151. The next prime is 400552171. The reversal of 400552152 is 251255004.

It is a happy number.

It is a super-2 number, since 2×4005521522 = 320884052943662208, 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 (400552151) 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 31 ways as a sum of consecutive naturals, for example, 15688 + ... + 32360.

It is an arithmetic number, because the mean of its divisors is an integer number (10504620).

Almost surely, 2400552152 is an apocalyptic number.

400552152 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 400552152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672295680).

400552152 is an abundant number, since it is smaller than the sum of its proper divisors (944039208).

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

400552152 is a wasteful number, since it uses less digits than its factorization.

400552152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16713 (or 16709 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 400552152 is about 20013.7990396626. The cubic root of 400552152 is about 737.1451680802.

The spelling of 400552152 in words is "four hundred million, five hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 16673 24024 33346 50019 66692 100038 116711 133384 183403 200076 216749 233422 350133 366806 400152 433498 466844 550209 650247 700266 733612 866996 933688 1100418 1283821 1300494 1400532 1467224 1517243 1733992 2200836 2384239 2567642 2600988 2801064 3034486 3851463 4401672 4551729 4768478 5135284 5201976 6068972 7152717 7702926 9103458 9536956 10270568 12137944 14305434 15405852 16689673 18206916 19073912 28610868 30811704 33379346 36413832 50069019 57221736 66758692 100138038 133517384 200276076 400552152