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49406916 = 223131979211
BaseRepresentation
bin1011110001111…
…0001111000100
310102222010112210
42330132033010
5100122010131
64522543420
71136644326
oct274361704
9112863483
1049406916
1125986169
1214667b70
13a30b480
1467c1616
15450e146
hex2f1e3c4

49406916 has 96 divisors (see below), whose sum is σ = 132966400. Its totient is φ = 14152320.

The previous prime is 49406899. The next prime is 49406933. The reversal of 49406916 is 61960494.

It is an interprime number because it is at equal distance from previous prime (49406899) and next prime (49406933).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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

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, 234051 + ... + 234261.

Almost surely, 249406916 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 49406916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66483200).

49406916 is an abundant number, since it is smaller than the sum of its proper divisors (83559484).

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

49406916 is a wasteful number, since it uses less digits than its factorization.

49406916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 49406916 is about 7029.0053350385. The cubic root of 49406916 is about 366.9407255032.

The spelling of 49406916 in words is "forty-nine million, four hundred six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 79 114 156 158 211 228 237 247 316 422 474 494 633 741 844 948 988 1027 1266 1482 1501 2054 2532 2743 2964 3002 3081 4009 4108 4503 5486 6004 6162 8018 8229 9006 10972 12027 12324 16036 16458 16669 18012 19513 24054 32916 33338 39026 48108 50007 52117 58539 66676 78052 100014 104234 117078 156351 200028 208468 216697 234156 312702 316711 433394 625404 633422 650091 866788 950133 1266844 1300182 1900266 2600364 3800532 4117243 8234486 12351729 16468972 24703458 49406916