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474939936 = 2534971889
BaseRepresentation
bin11100010011110…
…000001000100000
31020002200110010000
4130103300020200
51433041034221
6115043340000
714524631352
oct3423601040
91202613100
10474939936
11224100449
12113081600
137751c763
14471110d2
152ba67e26
hex1c4f0220

474939936 has 120 divisors (see below), whose sum is σ = 1411932060. Its totient is φ = 156598272.

The previous prime is 474939929. The next prime is 474940003. The reversal of 474939936 is 639939474.

It can be written as a sum of positive squares in 2 ways, for example, as 474368400 + 571536 = 21780^2 + 756^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 250480 + ... + 252368.

Almost surely, 2474939936 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 474939936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705966030).

474939936 is an abundant number, since it is smaller than the sum of its proper divisors (936992124).

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

474939936 is a wasteful number, since it uses less digits than its factorization.

474939936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1991 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 474939936 is about 21793.1167114757. The cubic root of 474939936 is about 780.2124864882.

The spelling of 474939936 in words is "four hundred seventy-four million, nine hundred thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 97 108 144 162 194 216 288 291 324 388 432 582 648 776 864 873 1164 1296 1552 1746 1889 2328 2592 2619 3104 3492 3778 4656 5238 5667 6984 7556 7857 9312 10476 11334 13968 15112 15714 17001 20952 22668 27936 30224 31428 34002 41904 45336 51003 60448 62856 68004 83808 90672 102006 125712 136008 153009 181344 183233 204012 251424 272016 306018 366466 408024 544032 549699 612036 732932 816048 1099398 1224072 1465864 1632096 1649097 2198796 2448144 2931728 3298194 4397592 4896288 4947291 5863456 6596388 8795184 9894582 13192776 14841873 17590368 19789164 26385552 29683746 39578328 52771104 59367492 79156656 118734984 158313312 237469968 474939936