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55714464 = 25321323647
BaseRepresentation
bin1101010010001…
…0001010100000
310212211120212200
43110202022200
5103230330324
65310053200
71244364561
oct324421240
9125746780
1055714464
11294a4113
12167aa200
13b709450
147584168
154d57ec9
hex35222a0

55714464 has 144 divisors (see below), whose sum is σ = 178319232. Its totient is φ = 16372224.

The previous prime is 55714429. The next prime is 55714469. The reversal of 55714464 is 46441755.

55714464 is a `hidden beast` number, since 557 + 1 + 44 + 64 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55714469) 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, 85789 + ... + 86435.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 255714464 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 55714464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89159616).

55714464 is an abundant number, since it is smaller than the sum of its proper divisors (122604768).

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

55714464 is a wasteful number, since it uses less digits than its factorization.

55714464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 688 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 55714464 is about 7464.2122156327. The cubic root of 55714464 is about 381.9348773794.

The spelling of 55714464 in words is "fifty-five million, seven hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 92 96 104 117 138 144 156 184 207 208 234 276 288 299 312 368 414 416 468 552 598 624 647 736 828 897 936 1104 1196 1248 1294 1656 1794 1872 1941 2208 2392 2588 2691 3312 3588 3744 3882 4784 5176 5382 5823 6624 7176 7764 8411 9568 10352 10764 11646 14352 14881 15528 16822 20704 21528 23292 25233 28704 29762 31056 33644 43056 44643 46584 50466 59524 62112 67288 75699 86112 89286 93168 100932 119048 133929 134576 151398 178572 186336 193453 201864 238096 267858 269152 302796 357144 386906 403728 476192 535716 580359 605592 714288 773812 807456 1071432 1160718 1211184 1428576 1547624 1741077 2142864 2321436 2422368 3095248 3482154 4285728 4642872 6190496 6964308 9285744 13928616 18571488 27857232 55714464