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631377552 = 2431317531123
BaseRepresentation
bin100101101000100…
…000111010010000
31122000001022011210
4211220200322100
52243113040202
6142352340120
721434422611
oct4550407220
91560038153
10631377552
112a443a333
12157544640
13a0a638b0
145dbd3c08
153a669c6c
hex25a20e90

631377552 has 160 divisors (see below), whose sum is σ = 1896628608. Its totient is φ = 179232768.

The previous prime is 631377547. The next prime is 631377599. The reversal of 631377552 is 255773136.

It is a super-2 number, since 2×6313775522 = 797275226339025408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 631377552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561663 + ... + 562785.

Almost surely, 2631377552 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 631377552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948314304).

631377552 is an abundant number, since it is smaller than the sum of its proper divisors (1265251056).

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

631377552 is a wasteful number, since it uses less digits than its factorization.

631377552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1211 counting only the distinct ones).

The product of its digits is 132300, while the sum is 39.

The square root of 631377552 is about 25127.2273042610. The cubic root of 631377552 is about 857.8862602637.

The spelling of 631377552 in words is "six hundred thirty-one million, three hundred seventy-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 53 68 78 102 104 106 136 156 159 204 208 212 221 272 312 318 408 424 442 624 636 663 689 816 848 884 901 1123 1272 1326 1378 1768 1802 2067 2246 2544 2652 2703 2756 3369 3536 3604 4134 4492 5304 5406 5512 6738 7208 8268 8984 10608 10812 11024 11713 13476 14416 14599 16536 17968 19091 21624 23426 26952 29198 33072 35139 38182 43248 43797 46852 53904 57273 58396 59519 70278 76364 87594 93704 114546 116792 119038 140556 152728 175188 178557 187408 229092 233584 238076 248183 281112 305456 350376 357114 458184 476152 496366 562224 700752 714228 744549 773747 916368 952304 992732 1011823 1428456 1489098 1547494 1985464 2023646 2321241 2856912 2978196 3035469 3094988 3970928 4047292 4642482 5956392 6070938 6189976 8094584 9284964 11912784 12141876 12379952 13153699 16189168 18569928 24283752 26307398 37139856 39461097 48567504 52614796 78922194 105229592 157844388 210459184 315688776 631377552