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49693904 = 24131731381
BaseRepresentation
bin1011110110010…
…0010011010000
310110111201012222
42331210103100
5100210201104
64533040212
71142251121
oct275442320
9113451188
1049693904
1126061847
1214786068
13a3abca0
146858048
1545691be
hex2f644d0

49693904 has 40 divisors (see below), whose sum is σ = 104363112. Its totient is φ = 22786560.

The previous prime is 49693901. The next prime is 49693979. The reversal of 49693904 is 40939694.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8065600 + 41628304 = 2840^2 + 6452^2 .

It is a super-2 number, since 2×496939042 = 4938968189522432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49693901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35294 + ... + 36674.

Almost surely, 249693904 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 49693904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52181556).

49693904 is an abundant number, since it is smaller than the sum of its proper divisors (54669208).

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

49693904 is a wasteful number, since it uses less digits than its factorization.

49693904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 44.

The square root of 49693904 is about 7049.3903282483. The cubic root of 49693904 is about 367.6498323126.

The spelling of 49693904 in words is "forty-nine million, six hundred ninety-three thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 173 208 346 692 1381 1384 2249 2762 2768 4498 5524 8996 11048 17953 17992 22096 35906 35984 71812 143624 238913 287248 477826 955652 1911304 3105869 3822608 6211738 12423476 24846952 49693904