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5615712 = 2532173137
BaseRepresentation
bin10101011011000001100000
3101120022022100
4111123001200
52414200322
6320210400
765506224
oct25330140
911508270
105615712
113196193
121a69a00
13121810b
14a62784
1575ddac
hex55b060

5615712 has 144 divisors (see below), whose sum is σ = 17926272. Its totient is φ = 1658880.

The previous prime is 5615699. The next prime is 5615713. The reversal of 5615712 is 2175165.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5615713) 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, 151758 + ... + 151794.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

Almost surely, 25615712 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 5615712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136).

5615712 is an abundant number, since it is smaller than the sum of its proper divisors (12310560).

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

5615712 is a wasteful number, since it uses less digits than its factorization.

5615712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 5615712 is about 2369.7493538347. The cubic root of 5615712 is about 177.7467255950.

It can be divided in two parts, 56157 and 12, that added together give a square (56169 = 2372).

The spelling of 5615712 in words is "five million, six hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 37 48 51 62 68 72 74 93 96 102 111 124 136 144 148 153 186 204 222 248 272 279 288 296 306 333 372 408 444 496 527 544 558 592 612 629 666 744 816 888 992 1054 1116 1147 1184 1224 1258 1332 1488 1581 1632 1776 1887 2108 2232 2294 2448 2516 2664 2976 3162 3441 3552 3774 4216 4464 4588 4743 4896 5032 5328 5661 6324 6882 7548 8432 8928 9176 9486 10064 10323 10656 11322 12648 13764 15096 16864 18352 18972 19499 20128 20646 22644 25296 27528 30192 36704 37944 38998 41292 45288 50592 55056 58497 60384 75888 77996 82584 90576 110112 116994 151776 155992 165168 175491 181152 233988 311984 330336 350982 467976 623968 701964 935952 1403928 1871904 2807856 5615712