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3922755072 = 29324110597
BaseRepresentation
bin1110100111010000…
…0111111000000000
3101010101100121022220
43221310013320000
531013211130242
61445130131040
7166131603465
oct35164077000
911111317286
103922755072
111733324a45
12915880a80
134a6917362
14292da766c
1517e5b7bec
hexe9d07e00

3922755072 has 80 divisors (see below), whose sum is σ = 10494817872. Its totient is φ = 1302036480.

The previous prime is 3922755043. The next prime is 3922755077. The reversal of 3922755072 is 2705572293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3922755077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364878 + ... + 375474.

Almost surely, 23922755072 is an apocalyptic number.

3922755072 is a gapful number since it is divisible by the number (32) 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 3922755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5247408936).

3922755072 is an abundant number, since it is smaller than the sum of its proper divisors (6572062800).

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

3922755072 is a wasteful number, since it uses less digits than its factorization.

3922755072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10859 (or 10843 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 3922755072 is about 62631.9013921819. The cubic root of 3922755072 is about 1577.1163382585.

The spelling of 3922755072 in words is "three billion, nine hundred twenty-two million, seven hundred fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 241 256 384 482 512 723 768 964 1446 1536 1928 2892 3856 5784 7712 10597 11568 15424 21194 23136 30848 31791 42388 46272 61696 63582 84776 92544 123392 127164 169552 185088 254328 339104 370176 508656 678208 1017312 1356416 2034624 2553877 2712832 4069248 5107754 5425664 7661631 8138496 10215508 15323262 16276992 20431016 30646524 40862032 61293048 81724064 122586096 163448128 245172192 326896256 490344384 653792512 980688768 1307585024 1961377536 3922755072