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47442240 = 2633517219
BaseRepresentation
bin1011010011111…
…0100101000000
310022021022112000
42310332211000
544121122430
64412504000
71114152366
oct264764500
9108238460
1047442240
112486406a
1213a7b000
139aa1141
14642d636
154271e60
hex2d3e940

47442240 has 336 divisors, whose sum is σ = 187147200. Its totient is φ = 11280384.

The previous prime is 47442233. The next prime is 47442253. The reversal of 47442240 is 4224474.

It is a super-2 number, since 2×474422402 = 4501532272435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2496951 + ... + 2496969.

Almost surely, 247442240 is an apocalyptic number.

47442240 is a gapful number since it is divisible by the number (40) 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 47442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93573600).

47442240 is an abundant number, since it is smaller than the sum of its proper divisors (139704960).

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

47442240 is a wasteful number, since it uses less digits than its factorization.

47442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 47442240 is about 6887.8327505827. The cubic root of 47442240 is about 362.0109679938.

The spelling of 47442240 in words is "forty-seven million, four hundred forty-two thousand, two hundred forty".