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49600992 = 2537312381
BaseRepresentation
bin1011110100110…
…1100111100000
310110022222202210
42331031213200
5100144212432
64531042120
71141413210
oct275154740
9113288683
1049600992
1125aa8a61
1214740340
13a3788cc
146832240
15454b8cc
hex2f4d9e0

49600992 has 96 divisors (see below), whose sum is σ = 153667584. Its totient is φ = 13708800.

The previous prime is 49600937. The next prime is 49601009. The reversal of 49600992 is 29900694.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 49600992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19642 + ... + 22022.

It is an arithmetic number, because the mean of its divisors is an integer number (1600704).

Almost surely, 249600992 is an apocalyptic number.

49600992 is a gapful number since it is divisible by the number (42) 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 49600992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76833792).

49600992 is an abundant number, since it is smaller than the sum of its proper divisors (104066592).

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

49600992 is a wasteful number, since it uses less digits than its factorization.

49600992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 49600992 is about 7042.7971715789. The cubic root of 49600992 is about 367.4205594406.

The spelling of 49600992 in words is "forty-nine million, six hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2381 2604 2976 3472 4762 5208 6944 7143 9524 10416 14286 16667 19048 20832 28572 33334 38096 50001 57144 66668 73811 76192 100002 114288 133336 147622 200004 221433 228576 266672 295244 400008 442866 516677 533344 590488 800016 885732 1033354 1180976 1550031 1600032 1771464 2066708 2361952 3100062 3542928 4133416 6200124 7085856 8266832 12400248 16533664 24800496 49600992