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5215392 = 2532713199
BaseRepresentation
bin10011111001010010100000
3100210222011200
4103321102200
52313343032
6303441200
762221140
oct23712240
910728150
105215392
112a42446
1218b6200
131107b40
1499a920
156d047c
hex4f94a0

5215392 has 144 divisors (see below), whose sum is σ = 18345600. Its totient is φ = 1368576.

The previous prime is 5215387. The next prime is 5215393. The reversal of 5215392 is 2935125.

5215392 is a `hidden beast` number, since 521 + 53 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5215393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26109 + ... + 26307.

It is an arithmetic number, because the mean of its divisors is an integer number (127400).

Almost surely, 25215392 is an apocalyptic number.

5215392 is a gapful number since it is divisible by the number (52) 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 5215392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172800).

5215392 is an abundant number, since it is smaller than the sum of its proper divisors (13130208).

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

5215392 is a wasteful number, since it uses less digits than its factorization.

5215392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 5215392 is about 2283.7232757057. The cubic root of 5215392 is about 173.4185905364.

The spelling of 5215392 in words is "five million, two hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 199 208 224 234 252 273 288 312 336 364 398 416 468 504 546 597 624 672 728 796 819 936 1008 1092 1194 1248 1393 1456 1592 1638 1791 1872 2016 2184 2388 2587 2786 2912 3184 3276 3582 3744 4179 4368 4776 5174 5572 6368 6552 7164 7761 8358 8736 9552 10348 11144 12537 13104 14328 15522 16716 18109 19104 20696 22288 23283 25074 26208 28656 31044 33432 36218 41392 44576 46566 50148 54327 57312 62088 66864 72436 82784 93132 100296 108654 124176 133728 144872 162981 186264 200592 217308 248352 289744 325962 372528 401184 434616 579488 651924 745056 869232 1303848 1738464 2607696 5215392