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3721985952 = 253127305281
BaseRepresentation
bin1101110111011000…
…1111111110100000
3100121101120110212120
43131312033332200
530110312022302
61413155024240
7161143233666
oct33566177640
910541513776
103721985952
11163aa67153
1287a59b080
13474150c69
14274464c36
1516bb5a9bc
hexddd8ffa0

3721985952 has 48 divisors (see below), whose sum is σ = 9847176192. Its totient is φ = 1230888960.

The previous prime is 3721985941. The next prime is 3721985983. The reversal of 3721985952 is 2595891273.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3721985895 and 3721985904.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140449 + ... + 164832.

It is an arithmetic number, because the mean of its divisors is an integer number (205149504).

Almost surely, 23721985952 is an apocalyptic number.

3721985952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3721985952 is an abundant number, since it is smaller than the sum of its proper divisors (6125190240).

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

3721985952 is a wasteful number, since it uses less digits than its factorization.

3721985952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305421 (or 305413 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The square root of 3721985952 is about 61008.0810384985. The cubic root of 3721985952 is about 1549.7378609066.

The spelling of 3721985952 in words is "three billion, seven hundred twenty-one million, nine hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 12192 305281 610562 915843 1221124 1831686 2442248 3663372 4884496 7326744 9768992 14653488 29306976 38770687 77541374 116312061 155082748 232624122 310165496 465248244 620330992 930496488 1240661984 1860992976 3721985952