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29950844 = 22711472069
BaseRepresentation
bin111001001000…
…0001101111100
32002100122211112
41302100031330
530131411334
62545541152
7512402150
oct162201574
962318745
1029950844
11159a7570
12a0447b8
1362887c1
143d99060
1529694ce
hex1c9037c

29950844 has 48 divisors (see below), whose sum is σ = 66769920. Its totient is φ = 11415360.

The previous prime is 29950841. The next prime is 29950847. The reversal of 29950844 is 44805992.

It is an interprime number because it is at equal distance from previous prime (29950841) and next prime (29950847).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29950841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13442 + ... + 15510.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 229950844 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 29950844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33384960).

29950844 is an abundant number, since it is smaller than the sum of its proper divisors (36819076).

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

29950844 is a wasteful number, since it uses less digits than its factorization.

29950844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 29950844 is about 5472.7364270537. The cubic root of 29950844 is about 310.5534476845.

The spelling of 29950844 in words is "twenty-nine million, nine hundred fifty thousand, eight hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 154 188 308 329 517 658 1034 1316 2068 2069 3619 4138 7238 8276 14476 14483 22759 28966 45518 57932 91036 97243 159313 194486 318626 388972 637252 680701 1069673 1361402 2139346 2722804 4278692 7487711 14975422 29950844