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95616768 = 2831361157
BaseRepresentation
bin1011011001011…
…11111100000000
320122220211112210
411230233330000
5143434214033
613253222120
72240505042
oct554577400
9218824483
1095616768
1149a78325
1228031940
1316a6a690
14c9ada92
1585dad63
hex5b2ff00

95616768 has 144 divisors (see below), whose sum is σ = 280322336. Its totient is φ = 28753920.

The previous prime is 95616767. The next prime is 95616793. The reversal of 95616768 is 86761659.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95616767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608946 + ... + 609102.

Almost surely, 295616768 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 95616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140161168).

95616768 is an abundant number, since it is smaller than the sum of its proper divisors (184705568).

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

95616768 is a wasteful number, since it uses less digits than its factorization.

95616768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 236 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 95616768 is about 9778.3826883591. The cubic root of 95616768 is about 457.2755912181.

The spelling of 95616768 in words is "ninety-five million, six hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 128 156 157 183 192 208 244 256 312 314 366 384 416 471 488 624 628 732 768 793 832 942 976 1248 1256 1464 1586 1664 1884 1952 2041 2379 2496 2512 2928 3172 3328 3768 3904 4082 4758 4992 5024 5856 6123 6344 7536 7808 8164 9516 9577 9984 10048 11712 12246 12688 15072 15616 16328 19032 19154 20096 23424 24492 25376 28731 30144 32656 38064 38308 40192 46848 48984 50752 57462 60288 65312 76128 76616 97968 101504 114924 120576 124501 130624 152256 153232 195936 203008 229848 249002 261248 304512 306464 373503 391872 459696 498004 522496 609024 612928 747006 783744 919392 996008 1225856 1494012 1567488 1838784 1992016 2451712 2988024 3677568 3984032 5976048 7355136 7968064 11952096 15936128 23904192 31872256 47808384 95616768