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3725015040 = 211365499
BaseRepresentation
bin1101111000000111…
…0011100000000000
3100121121021101000000
43132001303200000
530112100440130
61413344000000
7161211051105
oct33601634000
910547241000
103725015040
111641745a2a
1287b600000
13474971916
14274a12aac
1516c058260
hexde073800

3725015040 has 336 divisors, whose sum is σ = 13427505000. Its totient is φ = 991346688.

The previous prime is 3725015023. The next prime is 3725015057. The reversal of 3725015040 is 405105273.

It is a happy number.

3725015040 is a `hidden beast` number, since 3 + 72 + 501 + 50 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3725015023) and next prime (3725015057).

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

It is a junction number, because it is equal to n+sod(n) for n = 3725014995 and 3725015013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7464711 + ... + 7465209.

Almost surely, 23725015040 is an apocalyptic number.

3725015040 is a gapful number since it is divisible by the number (30) 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 3725015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713752500).

3725015040 is an abundant number, since it is smaller than the sum of its proper divisors (9702489960).

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

3725015040 is an frugal number, since it uses more digits than its factorization.

3725015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 3725015040 is about 61032.9012910250. The cubic root of 3725015040 is about 1550.1581579856.

The spelling of 3725015040 in words is "three billion, seven hundred twenty-five million, fifteen thousand, forty".