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2655407328 = 253715492551
BaseRepresentation
bin1001111001000110…
…0100110011100000
320212001121200001120
42132101210303200
520414241013303
61115254332240
7122542406220
oct23621446340
96761550046
102655407328
1111429a9912
1262135a080
133341a2652
141b2946080
151081c7553
hex9e464ce0

2655407328 has 96 divisors (see below), whose sum is σ = 7974489600. Its totient is φ = 757900800.

The previous prime is 2655407317. The next prime is 2655407341. The reversal of 2655407328 is 8237045562.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2655407328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039653 + ... + 1042203.

It is an arithmetic number, because the mean of its divisors is an integer number (83067600).

Almost surely, 22655407328 is an apocalyptic number.

2655407328 is a gapful number since it is divisible by the number (28) 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 2655407328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987244800).

2655407328 is an abundant number, since it is smaller than the sum of its proper divisors (5319082272).

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

2655407328 is a wasteful number, since it uses less digits than its factorization.

2655407328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 2655407328 is about 51530.6445525379. The cubic root of 2655407328 is about 1384.7680980355.

The spelling of 2655407328 in words is "two billion, six hundred fifty-five million, four hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1549 2551 3098 4647 5102 6196 7653 9294 10204 10843 12392 15306 17857 18588 20408 21686 24784 30612 32529 35714 37176 40816 43372 49568 53571 61224 65058 71428 74352 81632 86744 107142 122448 130116 142856 148704 173488 214284 244896 260232 285712 346976 428568 520464 571424 857136 1040928 1714272 3951499 7902998 11854497 15805996 23708994 27660493 31611992 47417988 55320986 63223984 82981479 94835976 110641972 126447968 165962958 189671952 221283944 331925916 379343904 442567888 663851832 885135776 1327703664 2655407328