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74908152 = 23351131113
BaseRepresentation
bin1000111011100…
…00000111111000
312012221201200000
410131300013320
5123134030102
611233313000
71566465054
oct435600770
9165851600
1074908152
1139313670
1221105760
1312699867
149d3cc64
15689a01c
hex47701f8

74908152 has 192 divisors, whose sum is σ = 239016960. Its totient is φ = 21772800.

The previous prime is 74908151. The next prime is 74908157. The reversal of 74908152 is 25180947.

It is a super-2 number, since 2×749081522 = 11222462472110208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74908151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 662848 + ... + 662960.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 274908152 is an apocalyptic number.

74908152 is a gapful number since it is divisible by the number (72) 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 74908152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

74908152 is an abundant number, since it is smaller than the sum of its proper divisors (164108808).

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

74908152 is a wasteful number, since it uses less digits than its factorization.

74908152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 74908152 is about 8654.9495665775. The cubic root of 74908152 is about 421.5441120991.

The spelling of 74908152 in words is "seventy-four million, nine hundred eight thousand, one hundred fifty-two".