Search a number
-
+
78631872 = 26311311201
BaseRepresentation
bin1001010111111…
…01001111000000
312110221220122120
410223331033000
5130112204442
611445204240
71643234304
oct453751700
9173856576
1078631872
1140427320
1222400680
13133a1747
14a62bd04
156d834ec
hex4afd3c0

78631872 has 112 divisors (see below), whose sum is σ = 234476544. Its totient is φ = 23040000.

The previous prime is 78631853. The next prime is 78631897. The reversal of 78631872 is 27813687.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64872 + ... + 66072.

Almost surely, 278631872 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 78631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117238272).

78631872 is an abundant number, since it is smaller than the sum of its proper divisors (155844672).

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

78631872 is a wasteful number, since it uses less digits than its factorization.

78631872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1248 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 78631872 is about 8867.4614180159. The cubic root of 78631872 is about 428.4165159481.

The spelling of 78631872 in words is "seventy-eight million, six hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 192 248 264 341 352 372 496 528 682 704 744 992 1023 1056 1201 1364 1488 1984 2046 2112 2402 2728 2976 3603 4092 4804 5456 5952 7206 8184 9608 10912 13211 14412 16368 19216 21824 26422 28824 32736 37231 38432 39633 52844 57648 65472 74462 76864 79266 105688 111693 115296 148924 158532 211376 223386 230592 297848 317064 409541 422752 446772 595696 634128 819082 845504 893544 1191392 1228623 1268256 1638164 1787088 2382784 2457246 2536512 3276328 3574176 4914492 6552656 7148352 9828984 13105312 19657968 26210624 39315936 78631872