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629240742 = 232132613391
BaseRepresentation
bin100101100000010…
…111001110100110
31121212000202000200
4211200113032212
52242041200432
6142234451330
721410313054
oct4540271646
91555022020
10629240742
112a320a979
12156893b46
13a0496100
145d7d91d4
153a396a7c
hex258173a6

629240742 has 72 divisors (see below), whose sum is σ = 1500939648. Its totient is φ = 190382400.

The previous prime is 629240741. The next prime is 629240743. The reversal of 629240742 is 247042926.

629240742 is a `hidden beast` number, since 629 + 24 + 0 + 7 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (629240741) and next prime (629240743).

It is a super-2 number, since 2×6292407422 = 791887822785421128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 629240697 and 629240706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629240741) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183867 + ... + 187257.

It is an arithmetic number, because the mean of its divisors is an integer number (20846384).

Almost surely, 2629240742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629240742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750469824).

629240742 is an abundant number, since it is smaller than the sum of its proper divisors (871698906).

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

629240742 is a wasteful number, since it uses less digits than its factorization.

629240742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 629240742 is about 25084.6714548945. The cubic root of 629240742 is about 856.9173672805.

The spelling of 629240742 in words is "six hundred twenty-nine million, two hundred forty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 169 183 234 338 366 507 549 793 1014 1098 1521 1586 2379 3042 3391 4758 6782 7137 10173 10309 14274 20346 20618 30519 30927 44083 61038 61854 88166 92781 132249 185562 206851 264498 396747 413702 573079 620553 793494 1146158 1241106 1719237 1861659 2689063 3438474 3723318 5157711 5378126 8067189 10315422 16134378 24201567 34957819 48403134 69915638 104873457 209746914 314620371 629240742