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47304642 = 237111719317
BaseRepresentation
bin1011010001110…
…0111111000010
310022000022202210
42310130333002
544102222032
64405522550
71113040260
oct264347702
9108008683
1047304642
112477a750
1213a13456
139a53618
1463d5430
1542462cc
hex2d1cfc2

47304642 has 128 divisors (see below), whose sum is σ = 131880960. Its totient is φ = 10920960.

The previous prime is 47304637. The next prime is 47304643. The reversal of 47304642 is 24640374.

It is not an unprimeable number, because it can be changed into a prime (47304643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149068 + ... + 149384.

It is an arithmetic number, because the mean of its divisors is an integer number (1030320).

Almost surely, 247304642 is an apocalyptic number.

47304642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 47304642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65940480).

47304642 is an abundant number, since it is smaller than the sum of its proper divisors (84576318).

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

47304642 is a wasteful number, since it uses less digits than its factorization.

47304642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376.

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 47304642 is about 6877.8370146435. The cubic root of 47304642 is about 361.6606457217.

The spelling of 47304642 in words is "forty-seven million, three hundred four thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 11 14 17 19 21 22 33 34 38 42 51 57 66 77 102 114 119 133 154 187 209 231 238 266 317 323 357 374 399 418 462 561 627 634 646 714 798 951 969 1122 1254 1309 1463 1902 1938 2219 2261 2618 2926 3487 3553 3927 4389 4438 4522 5389 6023 6657 6783 6974 7106 7854 8778 10461 10659 10778 12046 13314 13566 16167 18069 20922 21318 24409 24871 32334 36138 37723 42161 48818 49742 59279 66253 73227 74613 75446 84322 102391 113169 118558 126483 132506 146454 149226 177837 198759 204782 226338 252966 307173 355674 397518 414953 463771 614346 716737 829906 927542 1126301 1244859 1391313 1433474 2150211 2252602 2489718 2782626 3378903 4300422 6757806 7884107 15768214 23652321 47304642