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51416496 = 24324771107
BaseRepresentation
bin1100010000100…
…0110110110000
310120202020011200
43010020312300
5101130311441
65034011200
71163014215
oct304106660
9116666150
1051416496
1127028a7a
1215276b00
13a863081
146b85b0c
1547a97b6
hex3108db0

51416496 has 120 divisors (see below), whose sum is σ = 150418944. Its totient is φ = 16383360.

The previous prime is 51416471. The next prime is 51416503. The reversal of 51416496 is 69461415.

51416496 is a `hidden beast` number, since 5 + 1 + 4 + 1 + 649 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51416496.

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, 480475 + ... + 480581.

Almost surely, 251416496 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 51416496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75209472).

51416496 is an abundant number, since it is smaller than the sum of its proper divisors (99002448).

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

51416496 is a wasteful number, since it uses less digits than its factorization.

51416496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 230 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 51416496 is about 7170.5296875475. The cubic root of 51416496 is about 371.8497485478.

The spelling of 51416496 in words is "fifty-one million, four hundred sixteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 71 72 94 107 141 142 144 188 213 214 282 284 321 376 423 426 428 564 568 639 642 752 846 852 856 963 1128 1136 1278 1284 1692 1704 1712 1926 2256 2556 2568 3337 3384 3408 3852 5029 5112 5136 6674 6768 7597 7704 10011 10058 10224 13348 15087 15194 15408 20022 20116 22791 26696 30033 30174 30388 40044 40232 45261 45582 53392 60066 60348 60776 68373 80088 80464 90522 91164 120132 120696 121552 136746 160176 181044 182328 240264 241392 273492 357059 362088 364656 480528 546984 714118 724176 1071177 1093968 1428236 2142354 2856472 3213531 4284708 5712944 6427062 8569416 12854124 17138832 25708248 51416496