Search a number
-
+
78930432 = 293272447
BaseRepresentation
bin1001011010001…
…10001000000000
312111112002012100
410231012020000
5130201233212
611455430400
71645616610
oct455061000
9174462170
1078930432
1140610669
1222525400
13134775c9
14a6a8a40
156de1bdc
hex4b46200

78930432 has 120 divisors (see below), whose sum is σ = 260447616. Its totient is φ = 22542336.

The previous prime is 78930421. The next prime is 78930461. The reversal of 78930432 is 23403987.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31033 + ... + 33479.

Almost surely, 278930432 is an apocalyptic number.

78930432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78930432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130223808).

78930432 is an abundant number, since it is smaller than the sum of its proper divisors (181517184).

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

78930432 is a wasteful number, since it uses less digits than its factorization.

78930432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 78930432 is about 8884.2800496157. The cubic root of 78930432 is about 428.9580541576.

The spelling of 78930432 in words is "seventy-eight million, nine hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2447 2688 3584 4032 4608 4894 5376 7341 8064 9788 10752 14682 16128 17129 19576 22023 29364 32256 34258 39152 44046 51387 58728 68516 78304 88092 102774 117456 137032 154161 156608 176184 205548 234912 274064 308322 313216 352368 411096 469824 548128 616644 626432 704736 822192 939648 1096256 1233288 1252864 1409472 1644384 1879296 2192512 2466576 2818944 3288768 3758592 4385024 4933152 5637888 6577536 8770048 9866304 11275776 13155072 19732608 26310144 39465216 78930432