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47621952 = 2633731127
BaseRepresentation
bin1011010110101…
…0011101000000
310022121110001000
42311222131000
544142400302
64420412000
71115531340
oct265523500
9108543030
1047621952
1124977094
1213b47000
139b34b91
146478d20
1542aa31c
hex2d6a740

47621952 has 224 divisors, whose sum is σ = 166461440. Its totient is φ = 13063680.

The previous prime is 47621939. The next prime is 47621969. The reversal of 47621952 is 25912674.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374913 + ... + 375039.

Almost surely, 247621952 is an apocalyptic number.

47621952 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 47621952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83230720).

47621952 is an abundant number, since it is smaller than the sum of its proper divisors (118839488).

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

47621952 is a wasteful number, since it uses less digits than its factorization.

47621952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 47621952 is about 6900.8660326078. The cubic root of 47621952 is about 362.4674932405.

The spelling of 47621952 in words is "forty-seven million, six hundred twenty-one thousand, nine hundred fifty-two".