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4952482640 = 2457611131283
BaseRepresentation
bin1001001110011000…
…01110001101010000
3110210010222011222222
410213030032031100
540120313421030
62135232520212
7233504256620
oct44714161520
913703864888
104952482640
112111602566
12b626b0068
1360c062501
1434da52880
151debbc3e5
hex12730e350

4952482640 has 160 divisors (see below), whose sum is σ = 13504064256. Its totient is φ = 1654087680.

The previous prime is 4952482609. The next prime is 4952482669. The reversal of 4952482640 is 462842594.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4952482591 and 4952482600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3859439 + ... + 3860721.

Almost surely, 24952482640 is an apocalyptic number.

4952482640 is a gapful number since it is divisible by the number (40) 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 4952482640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6752032128).

4952482640 is an abundant number, since it is smaller than the sum of its proper divisors (8551581616).

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

4952482640 is a wasteful number, since it uses less digits than its factorization.

4952482640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The square root of 4952482640 is about 70373.8775398940. The cubic root of 4952482640 is about 1704.5417928618.

The spelling of 4952482640 in words is "four billion, nine hundred fifty-two million, four hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 113 122 140 226 244 280 305 427 452 488 560 565 610 791 854 904 976 1130 1220 1283 1582 1708 1808 2135 2260 2440 2566 3164 3416 3955 4270 4520 4880 5132 6328 6415 6832 6893 7910 8540 8981 9040 10264 12656 12830 13786 15820 17080 17962 20528 25660 27572 31640 34160 34465 35924 44905 48251 51320 55144 63280 68930 71848 78263 89810 96502 102640 110288 137860 143696 144979 156526 179620 193004 241255 275720 289958 313052 359240 386008 391315 482510 547841 551440 579916 626104 718480 724895 772016 782630 965020 1014853 1095682 1159832 1252208 1449790 1565260 1930040 2029706 2191364 2319664 2739205 2899580 3130520 3860080 4059412 4382728 5074265 5478410 5799160 6261040 8118824 8765456 8843719 10148530 10956820 11598320 16237648 17687438 20297060 21913640 35374876 40594120 43827280 44218595 61906033 70749752 81188240 88437190 123812066 141499504 176874380 247624132 309530165 353748760 495248264 619060330 707497520 990496528 1238120660 2476241320 4952482640