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949977054 = 232132596779
BaseRepresentation
bin111000100111110…
…111111111011110
32110012112211112100
4320213313333132
53421143231204
6234133145530
732353446255
oct7047677736
92405484470
10949977054
11448267904
1222618b2a6
13121a74500
149024979c
15585eea39
hex389f7fde

949977054 has 144 divisors (see below), whose sum is σ = 2329516800. Its totient is φ = 279474624.

The previous prime is 949977053. The next prime is 949977079. The reversal of 949977054 is 450779949.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949977053) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12024987 + ... + 12025065.

It is an arithmetic number, because the mean of its divisors is an integer number (16177200).

Almost surely, 2949977054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949977054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164758400).

949977054 is an abundant number, since it is smaller than the sum of its proper divisors (1379539746).

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

949977054 is a wasteful number, since it uses less digits than its factorization.

949977054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 949977054 is about 30821.6977793242. The cubic root of 949977054 is about 983.0396576876.

The spelling of 949977054 in words is "nine hundred forty-nine million, nine hundred seventy-seven thousand, fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 59 67 78 79 117 118 134 158 169 177 201 234 237 338 354 402 474 507 531 603 711 767 871 1014 1027 1062 1206 1422 1521 1534 1742 2054 2301 2613 3042 3081 3953 4602 4661 5226 5293 6162 6903 7839 7906 9243 9322 9971 10586 11323 11859 13351 13806 13983 15678 15879 18486 19942 22646 23718 26702 27966 29913 31758 33969 35577 40053 41949 47637 51389 59826 60593 67938 68809 71154 80106 83898 89739 95274 101907 102778 120159 121186 137618 154167 179478 181779 203814 206427 240318 308334 312287 363558 412854 462501 545337 619281 624574 668057 787709 894517 925002 936861 1090674 1238562 1336114 1575418 1789034 1873722 2004171 2363127 2683551 2810583 4008342 4059731 4726254 5367102 5621166 6012513 7089381 8050653 8119462 12025026 12179193 14178762 16101306 24358386 36537579 52776503 73075158 105553006 158329509 316659018 474988527 949977054