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46988640 = 2533573149
BaseRepresentation
bin1011001100111…
…1110101100000
310021102021022000
42303033311200
544012114030
64355044000
71110253056
oct263176540
9107367260
1046988640
1124584296
12138a0600
13997283a
1463521d6
1541d2860
hex2ccfd60

46988640 has 192 divisors, whose sum is σ = 167832000. Its totient is φ = 12275712.

The previous prime is 46988639. The next prime is 46988659. The reversal of 46988640 is 4688964.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 315286 + ... + 315434.

It is an arithmetic number, because the mean of its divisors is an integer number (874125).

Almost surely, 246988640 is an apocalyptic number.

46988640 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 46988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83916000).

46988640 is an abundant number, since it is smaller than the sum of its proper divisors (120843360).

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

46988640 is a wasteful number, since it uses less digits than its factorization.

46988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 46988640 is about 6854.8260371799. The cubic root of 46988640 is about 360.8535303063.

The spelling of 46988640 in words is "forty-six million, nine hundred eighty-eight thousand, six hundred forty".