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379678572 = 2232713235039
BaseRepresentation
bin10110101000010…
…110111101101100
3222110102200002100
4112220112331230
51234144203242
6101401455100
712260133420
oct2650267554
9873380070
10379678572
11185356149
12a71a1490
1360877aa0
14385d4b80
15234ec54c
hex16a16f6c

379678572 has 144 divisors (see below), whose sum is σ = 1232824320. Its totient is φ = 95762304.

The previous prime is 379678567. The next prime is 379678589. The reversal of 379678572 is 275876973.

379678572 is a `hidden beast` number, since 3 + 7 + 9 + 67 + 8 + 572 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72829 + ... + 77867.

It is an arithmetic number, because the mean of its divisors is an integer number (8561280).

Almost surely, 2379678572 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 379678572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616412160).

379678572 is an abundant number, since it is smaller than the sum of its proper divisors (853145748).

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

379678572 is a wasteful number, since it uses less digits than its factorization.

379678572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092 (or 5087 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 379678572 is about 19485.3424912163. The cubic root of 379678572 is about 724.1113627625. Note that the first 3 decimals are identical.

The spelling of 379678572 in words is "three hundred seventy-nine million, six hundred seventy-eight thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 23 26 28 36 39 42 46 52 63 69 78 84 91 92 117 126 138 156 161 182 207 234 252 273 276 299 322 364 414 468 483 546 598 644 819 828 897 966 1092 1196 1449 1638 1794 1932 2093 2691 2898 3276 3588 4186 5039 5382 5796 6279 8372 10078 10764 12558 15117 18837 20156 25116 30234 35273 37674 45351 60468 65507 70546 75348 90702 105819 115897 131014 141092 181404 196521 211638 231794 262028 317457 347691 393042 423276 458549 463588 589563 634914 695382 786084 811279 917098 1043073 1179126 1269828 1375647 1390764 1506661 1622558 1834196 2086146 2358252 2433837 2751294 3013322 3245116 4126941 4172292 4519983 4867674 5502588 6026644 7301511 8253882 9039966 9735348 10546627 13559949 14603022 16507764 18079932 21093254 27119898 29206044 31639881 42186508 54239796 63279762 94919643 126559524 189839286 379678572