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147422976 = 2831910103
BaseRepresentation
bin10001100100101…
…11111100000000
3101021101212022020
420302113330000
5300220013401
622343441440
73440034411
oct1062277400
9337355266
10147422976
1176242078
1241456280
1324708c3c
1415817808
15ce20d36
hex8c97f00

147422976 has 72 divisors (see below), whose sum is σ = 413051520. Its totient is φ = 46550016.

The previous prime is 147422971. The next prime is 147422987. The reversal of 147422976 is 679224741.

147422976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147422971) 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, 9541 + ... + 19643.

Almost surely, 2147422976 is an apocalyptic number.

147422976 is a gapful number since it is divisible by the number (16) 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 147422976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206525760).

147422976 is an abundant number, since it is smaller than the sum of its proper divisors (265628544).

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

147422976 is a wasteful number, since it uses less digits than its factorization.

147422976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10141 (or 10127 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 147422976 is about 12141.7863595107. The cubic root of 147422976 is about 528.2689171919.

The spelling of 147422976 in words is "one hundred forty-seven million, four hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 10103 14592 20206 30309 40412 60618 80824 121236 161648 191957 242472 323296 383914 484944 575871 646592 767828 969888 1151742 1293184 1535656 1939776 2303484 2586368 3071312 3879552 4606968 6142624 7759104 9213936 12285248 18427872 24570496 36855744 49140992 73711488 147422976