Search a number
-
+
96497544 = 233111331907
BaseRepresentation
bin1011100000001…
…10111110001000
320201120120202010
411300012332020
5144200410134
613324135520
72251133643
oct560067610
9221516663
1096497544
114a51a040
12283975a0
1316cb8550
14cb5ca5a
158711ce9
hex5c06f88

96497544 has 128 divisors (see below), whose sum is σ = 292884480. Its totient is φ = 26092800.

The previous prime is 96497539. The next prime is 96497567. The reversal of 96497544 is 44579469.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 96497493 and 96497502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105939 + ... + 106845.

It is an arithmetic number, because the mean of its divisors is an integer number (2288160).

Almost surely, 296497544 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 96497544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146442240).

96497544 is an abundant number, since it is smaller than the sum of its proper divisors (196386936).

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

96497544 is a wasteful number, since it uses less digits than its factorization.

96497544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 967 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 96497544 is about 9823.3163442903. The cubic root of 96497544 is about 458.6753700612.

The spelling of 96497544 in words is "ninety-six million, four hundred ninety-seven thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 248 264 286 312 341 372 403 429 572 682 744 806 858 907 1023 1144 1209 1364 1612 1716 1814 2046 2418 2721 2728 3224 3432 3628 4092 4433 4836 5442 7256 8184 8866 9672 9977 10884 11791 13299 17732 19954 21768 23582 26598 28117 29931 35373 35464 39908 47164 53196 56234 59862 70746 79816 84351 94328 106392 112468 119724 129701 141492 168702 224936 239448 259402 282984 309287 337404 365521 389103 518804 618574 674808 731042 778206 927861 1037608 1096563 1237148 1462084 1556412 1855722 2193126 2474296 2924168 3112824 3711444 4020731 4386252 7422888 8041462 8772504 12062193 16082924 24124386 32165848 48248772 96497544