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421545124 = 2271121317563
BaseRepresentation
bin11001001000000…
…100010010100100
31002101012201012101
4121020010102210
51330403420444
6105455101444
713306034350
oct3110042244
91071181171
10421545124
111a6a51100
12b9211884
13694460b0
143ddb2460
152701c3d4
hex192044a4

421545124 has 144 divisors (see below), whose sum is σ = 1058569344. Its totient is φ = 142433280.

The previous prime is 421545119. The next prime is 421545133.

421545124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 421545092 and 421545101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748467 + ... + 749029.

It is an arithmetic number, because the mean of its divisors is an integer number (7351176).

Almost surely, 2421545124 is an apocalyptic number.

421545124 is a gapful number since it is divisible by the number (44) 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 421545124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529284672).

421545124 is an abundant number, since it is smaller than the sum of its proper divisors (637024220).

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

421545124 is a wasteful number, since it uses less digits than its factorization.

421545124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 613 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 421545124 is about 20531.5640904438. The cubic root of 421545124 is about 749.8044669528.

It can be divided in two parts, 42154 and 5124, that added together give a triangular number (47278 = T307).

The spelling of 421545124 in words is "four hundred twenty-one million, five hundred forty-five thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 52 68 77 91 119 121 143 154 182 187 221 238 242 286 308 364 374 442 476 484 563 572 748 847 884 1001 1126 1309 1547 1573 1694 2002 2057 2252 2431 2618 3094 3146 3388 3941 4004 4114 4862 5236 6188 6193 6292 7319 7882 8228 9571 9724 11011 12386 14399 14638 15764 17017 19142 22022 24772 26741 28798 29276 34034 38284 43351 44044 51233 53482 57596 66997 68068 68123 80509 86702 102466 105281 106964 124423 133994 136246 161018 173404 187187 204932 210562 248846 267988 272492 322036 374374 421124 476861 497692 563563 736967 748748 870961 885599 953722 1127126 1158091 1368653 1473934 1741922 1771198 1907444 2254252 2316182 2737306 2947868 3483844 3542396 4632364 5474612 6199193 8106637 9580571 12398386 15055183 16213274 19161142 24796772 30110366 32426548 38322284 60220732 105386281 210772562 421545124