[go: up one dir, main page]

Search a number
-
+
79145472 = 293717433
BaseRepresentation
bin1001011011110…
…10101000000000
312111221000011210
410231322220000
5130230123342
611504210120
71650503550
oct455725000
9174830153
1079145472
114074818a
1222609940
1313521453
14a723160
156e3579c
hex4b7aa00

79145472 has 160 divisors (see below), whose sum is σ = 255733632. Its totient is φ = 21233664.

The previous prime is 79145471. The next prime is 79145477. The reversal of 79145472 is 27454197.

It is a self number, because there is not a number n which added to its sum of digits gives 79145472.

It is not an unprimeable number, because it can be changed into a prime (79145471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182568 + ... + 183000.

Almost surely, 279145472 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 79145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127866816).

79145472 is an abundant number, since it is smaller than the sum of its proper divisors (176588160).

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

79145472 is a wasteful number, since it uses less digits than its factorization.

79145472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 462 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 79145472 is about 8896.3740928538. The cubic root of 79145472 is about 429.3472555272.

The spelling of 79145472 in words is "seventy-nine million, one hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 433 448 476 512 544 672 714 768 816 866 896 952 1088 1299 1344 1428 1536 1632 1732 1792 1904 2176 2598 2688 2856 3031 3264 3464 3584 3808 4352 5196 5376 5712 6062 6528 6928 7361 7616 8704 9093 10392 10752 11424 12124 13056 13856 14722 15232 18186 20784 22083 22848 24248 26112 27712 29444 30464 36372 41568 44166 45696 48496 51527 55424 58888 60928 72744 83136 88332 91392 96992 103054 110848 117776 145488 154581 166272 176664 182784 193984 206108 221696 235552 290976 309162 332544 353328 387968 412216 471104 581952 618324 665088 706656 775936 824432 942208 1163904 1236648 1413312 1551872 1648864 1884416 2327808 2473296 2826624 3297728 3768832 4655616 4946592 5653248 6595456 9893184 11306496 13190912 19786368 26381824 39572736 79145472