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406472248 = 23721331283
BaseRepresentation
bin11000001110100…
…100011000111000
31001022211221002201
4120032210120320
51313024102443
6104200035544
713033646200
oct3016443070
91038757081
10406472248
11199496686
12b4162bb4
1366299530
143bdab400
1525a4134d
hex183a4638

406472248 has 144 divisors (see below), whose sum is σ = 998441640. Its totient is φ = 153740160.

The previous prime is 406472233. The next prime is 406472251. The reversal of 406472248 is 842274604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4897215 + ... + 4897297.

Almost surely, 2406472248 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 406472248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499220820).

406472248 is an abundant number, since it is smaller than the sum of its proper divisors (591969392).

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

406472248 is a wasteful number, since it uses less digits than its factorization.

406472248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The square root of 406472248 is about 20161.1569112489. The cubic root of 406472248 is about 740.7590507012.

The spelling of 406472248 in words is "four hundred six million, four hundred seventy-two thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 83 91 98 104 124 166 182 196 217 248 332 364 392 403 434 581 637 664 728 806 868 961 1079 1162 1274 1519 1612 1736 1922 2158 2324 2548 2573 2821 3038 3224 3844 4067 4316 4648 5096 5146 5642 6076 6727 7553 7688 8134 8632 10292 11284 12152 12493 13454 15106 16268 18011 19747 20584 22568 24986 26908 30212 32536 33449 36022 39494 47089 49972 52871 53816 60424 66898 72044 78988 79763 87451 94178 99944 105742 126077 133796 144088 157976 159526 174902 188356 211484 234143 252154 267592 319052 349804 376712 422968 468286 504308 558341 612157 638104 699608 936572 1008616 1036919 1116682 1224314 1639001 1873144 2073838 2233364 2448628 3278002 3908387 4147676 4466728 4897256 6556004 7258433 7816774 8295352 13112008 14516866 15633548 29033732 31267096 50809031 58067464 101618062 203236124 406472248