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474532992 = 2734371237
BaseRepresentation
bin11100010010001…
…100110010000000
31020001220202220000
4130102030302000
51432440023432
6115030520000
714521315053
oct3422146200
91201822800
10474532992
1122395272a
12112b06000
137740946b
1447046a9a
152b9d757c
hex1c48cc80

474532992 has 160 divisors (see below), whose sum is σ = 1451542620. Its totient is φ = 153778176.

The previous prime is 474532979. The next prime is 474532997. The reversal of 474532992 is 299235474.

It can be written as a sum of positive squares in 2 ways, for example, as 415181376 + 59351616 = 20376^2 + 7704^2 .

It is not an unprimeable number, because it can be changed into a prime (474532997) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 382998 + ... + 384234.

Almost surely, 2474532992 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 474532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725771310).

474532992 is an abundant number, since it is smaller than the sum of its proper divisors (977009628).

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

474532992 is a wasteful number, since it uses less digits than its factorization.

474532992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1279 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 474532992 is about 21783.7781846951. The cubic root of 474532992 is about 779.9895856598.

The spelling of 474532992 in words is "four hundred seventy-four million, five hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 128 144 148 162 192 216 222 288 296 324 333 384 432 444 576 592 648 666 864 888 999 1152 1184 1237 1296 1332 1728 1776 1998 2368 2474 2592 2664 2997 3456 3552 3711 3996 4736 4948 5184 5328 5994 7104 7422 7992 9896 10368 10656 11133 11988 14208 14844 15984 19792 21312 22266 23976 29688 31968 33399 39584 42624 44532 45769 47952 59376 63936 66798 79168 89064 91538 95904 100197 118752 127872 133596 137307 158336 178128 183076 191808 200394 237504 267192 274614 356256 366152 383616 400788 411921 475008 534384 549228 712512 732304 801576 823842 1068768 1098456 1235763 1425024 1464608 1603152 1647684 2137536 2196912 2471526 2929216 3206304 3295368 3707289 4275072 4393824 4943052 5858432 6412608 6590736 7414578 8787648 9886104 12825216 13181472 14829156 17575296 19772208 26362944 29658312 39544416 52725888 59316624 79088832 118633248 158177664 237266496 474532992