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50074900 = 2252618209
BaseRepresentation
bin1011111100000…
…1010100010100
310111020001211221
42333001110110
5100304344100
64545140124
71145425651
oct277012424
9114201757
1050074900
11262a2017
121492a644
13a4b3525
146916c28
1545e201a
hex2fc1514

50074900 has 36 divisors (see below), whose sum is σ = 110457340. Its totient is φ = 19699200.

The previous prime is 50074879. The next prime is 50074901. The reversal of 50074900 is 947005.

It can be written as a sum of positive squares in 6 ways, for example, as 20958084 + 29116816 = 4578^2 + 5396^2 .

It is a super-2 number, since 2×500749002 = 5014991220020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50074901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1996 + ... + 10204.

Almost surely, 250074900 is an apocalyptic number.

50074900 is a gapful number since it is divisible by the number (50) 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 50074900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55228670).

50074900 is an abundant number, since it is smaller than the sum of its proper divisors (60382440).

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

50074900 is a wasteful number, since it uses less digits than its factorization.

50074900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8284 (or 8277 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 50074900 is about 7076.3620597027. The cubic root of 50074900 is about 368.5870140579.

The spelling of 50074900 in words is "fifty million, seventy-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 8209 16418 32836 41045 82090 164180 205225 410450 500749 820900 1001498 2002996 2503745 5007490 10014980 12518725 25037450 50074900