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96663456 = 253531401
BaseRepresentation
bin1011100001011…
…11011110100000
320201220000100000
411300233132200
5144221212311
613331500000
72252424441
oct560573640
9221800300
1096663456
114a62275a
1228457600
1317045c16
14cba32c8
158746056
hex5c2f7a0

96663456 has 144 divisors (see below), whose sum is σ = 294997248. Its totient is φ = 31104000.

The previous prime is 96663449. The next prime is 96663481. The reversal of 96663456 is 65436669.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240856 + ... + 241256.

It is an arithmetic number, because the mean of its divisors is an integer number (2048592).

Almost surely, 296663456 is an apocalyptic number.

96663456 is a gapful number since it is divisible by the number (96) 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 96663456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147498624).

96663456 is an abundant number, since it is smaller than the sum of its proper divisors (198333792).

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

96663456 is a wasteful number, since it uses less digits than its factorization.

96663456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 437 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 96663456 is about 9831.7575234543. The cubic root of 96663456 is about 458.9380923811.

The spelling of 96663456 in words is "ninety-six million, six hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 243 248 279 288 324 372 401 432 486 496 558 648 744 802 837 864 972 992 1116 1203 1296 1488 1604 1674 1944 2232 2406 2511 2592 2976 3208 3348 3609 3888 4464 4812 5022 6416 6696 7218 7533 7776 8928 9624 10044 10827 12431 12832 13392 14436 15066 19248 20088 21654 24862 26784 28872 30132 32481 37293 38496 40176 43308 49724 57744 60264 64962 74586 80352 86616 97443 99448 111879 115488 120528 129924 149172 173232 194886 198896 223758 241056 259848 298344 335637 346464 389772 397792 447516 519696 596688 671274 779544 895032 1006911 1039392 1193376 1342548 1559088 1790064 2013822 2685096 3020733 3118176 3580128 4027644 5370192 6041466 8055288 10740384 12082932 16110576 24165864 32221152 48331728 96663456