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42212976 = 24313611109
BaseRepresentation
bin1010000100000…
…1111001110000
32221102122022120
42201001321300
541301303401
64104434240
71021542621
oct241017160
987378276
1042212976
1121912263
1212178980
13898cbc0
14586ba48
153a8c836
hex2841e70

42212976 has 80 divisors (see below), whose sum is σ = 119471520. Its totient is φ = 12764160.

The previous prime is 42212953. The next prime is 42212977. The reversal of 42212976 is 67921224.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42212977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37510 + ... + 38618.

It is an arithmetic number, because the mean of its divisors is an integer number (1493394).

Almost surely, 242212976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42212976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59735760).

42212976 is an abundant number, since it is smaller than the sum of its proper divisors (77258544).

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

42212976 is a wasteful number, since it uses less digits than its factorization.

42212976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1188 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 42212976 is about 6497.1513757954. The cubic root of 42212976 is about 348.1892219713.

The spelling of 42212976 in words is "forty-two million, two hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 156 183 208 244 312 366 488 624 732 793 976 1109 1464 1586 2218 2379 2928 3172 3327 4436 4758 6344 6654 8872 9516 12688 13308 14417 17744 19032 26616 28834 38064 43251 53232 57668 67649 86502 115336 135298 173004 202947 230672 270596 346008 405894 541192 692016 811788 879437 1082384 1623576 1758874 2638311 3247152 3517748 5276622 7035496 10553244 14070992 21106488 42212976