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400061632 = 2623463587
BaseRepresentation
bin10111110110000…
…111010011000000
31000212210020101111
4113312013103000
51304403433012
6103410413104
712625316305
oct2766072300
91025706344
10400061632
11195908253
12b1b91194
1364b63679
143b1bd0ac
15251c6ba7
hex17d874c0

400061632 has 56 divisors (see below), whose sum is σ = 831591936. Its totient is φ = 190595328.

The previous prime is 400061617. The next prime is 400061633. The reversal of 400061632 is 236160004.

It is not an unprimeable number, because it can be changed into a prime (400061633) 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, 681243 + ... + 681829.

It is an arithmetic number, because the mean of its divisors is an integer number (14849856).

Almost surely, 2400061632 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 400061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415795968).

400061632 is an abundant number, since it is smaller than the sum of its proper divisors (431530304).

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

400061632 is a wasteful number, since it uses less digits than its factorization.

400061632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 400061632 is about 20001.5407406530. The cubic root of 400061632 is about 736.8441401562.

The spelling of 400061632 in words is "four hundred million, sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 463 587 736 926 1174 1472 1852 2348 3704 4696 7408 9392 10649 13501 14816 18784 21298 27002 29632 37568 42596 54004 85192 108008 170384 216016 271781 340768 432032 543562 681536 864064 1087124 2174248 4348496 6250963 8696992 12501926 17393984 25003852 50007704 100015408 200030816 400061632