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469048972 = 2272171931239
BaseRepresentation
bin11011111101010…
…001111010001100
31012200121011020011
4123331101322030
51430034031342
6114313203004
714423564500
oct3375217214
91180534204
10469048972
11220847487
12111100464
1376239292
144641a300
152b2a2717
hex1bf51e8c

469048972 has 144 divisors (see below), whose sum is σ = 1103155200. Its totient is φ = 172730880.

The previous prime is 469048939. The next prime is 469048981. The reversal of 469048972 is 279840964.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1962429 + ... + 1962667.

It is an arithmetic number, because the mean of its divisors is an integer number (7660800).

Almost surely, 2469048972 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 469048972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551577600).

469048972 is an abundant number, since it is smaller than the sum of its proper divisors (634106228).

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

469048972 is a wasteful number, since it uses less digits than its factorization.

469048972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 469048972 is about 21657.5384566206. The cubic root of 469048972 is about 776.9732425924.

The spelling of 469048972 in words is "four hundred sixty-nine million, forty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 17 19 28 31 34 38 49 62 68 76 98 119 124 133 196 217 238 239 266 323 434 476 478 527 532 589 646 833 868 931 956 1054 1178 1292 1519 1666 1673 1862 2108 2261 2356 3038 3332 3346 3689 3724 4063 4123 4522 4541 6076 6692 7378 7409 8126 8246 9044 9082 10013 11711 14756 14818 15827 16252 16492 18164 20026 23422 25823 28441 28861 29636 31654 31787 40052 46844 51646 51863 56882 57722 63308 63574 70091 77197 103292 103726 113764 115444 125953 127148 140182 140771 154394 199087 207452 222509 251906 280364 281542 308788 363041 398174 445018 490637 503812 540379 563084 726082 796348 881671 890036 981274 985397 1080758 1452164 1763342 1962548 1970794 2161516 2393107 3526684 3782653 3941588 4786214 6171697 6897779 7565306 9572428 12343394 13795558 15130612 16751749 24686788 27591116 33503498 67006996 117262243 234524486 469048972