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628174404 = 22321121311093
BaseRepresentation
bin100101011100010…
…010111001000100
31121210000120021200
4211130102321010
52241303040104
6142155542500
721365252154
oct4534227104
91553016250
10628174404
112a2651800
1215645aa30
13a01b1940
145d5dc764
153a235b39
hex25712e44

628174404 has 108 divisors (see below), whose sum is σ = 1879789548. Its totient is φ = 175697280.

The previous prime is 628174399. The next prime is 628174433. The reversal of 628174404 is 404471826.

It can be written as a sum of positive squares in 2 ways, for example, as 305900100 + 322274304 = 17490^2 + 17952^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51082 + ... + 62174.

Almost surely, 2628174404 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 628174404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939894774).

628174404 is an abundant number, since it is smaller than the sum of its proper divisors (1251615144).

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

628174404 is a wasteful number, since it uses less digits than its factorization.

628174404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11138 (or 11122 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 628174404 is about 25063.4076693494. The cubic root of 628174404 is about 856.4330374395.

The spelling of 628174404 in words is "six hundred twenty-eight million, one hundred seventy-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 198 234 242 286 363 396 429 468 484 572 726 858 1089 1287 1452 1573 1716 2178 2574 3146 4356 4719 5148 6292 9438 11093 14157 18876 22186 28314 33279 44372 56628 66558 99837 122023 133116 144209 199674 244046 288418 366069 399348 432627 488092 576836 732138 865254 1098207 1297881 1342253 1464276 1586299 1730508 2196414 2595762 2684506 3172598 4026759 4392828 4758897 5191524 5369012 6345196 8053518 9517794 12080277 14276691 16107036 17449289 19035588 24160554 28553382 34898578 48321108 52347867 57106764 69797156 104695734 157043601 209391468 314087202 628174404