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52948992 = 212331139
BaseRepresentation
bin1100100111111…
…1000000000000
310200122002100210
43021333000000
5102023331432
65130514120
71212026145
oct311770000
9120562323
1052948992
11279853a8
1215895940
13ac7b785
1470643cc
1549ad8cc
hex327f000

52948992 has 104 divisors (see below), whose sum is σ = 146782720. Its totient is φ = 16957440.

The previous prime is 52948979. The next prime is 52948997. The reversal of 52948992 is 29984925.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52948997) 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, 380859 + ... + 380997.

Almost surely, 252948992 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 52948992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73391360).

52948992 is an abundant number, since it is smaller than the sum of its proper divisors (93833728).

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

52948992 is a wasteful number, since it uses less digits than its factorization.

52948992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 52948992 is about 7276.6058021580. The cubic root of 52948992 is about 375.5080332063.

The spelling of 52948992 in words is "fifty-two million, nine hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 139 186 192 248 256 278 372 384 417 496 512 556 744 768 834 992 1024 1112 1488 1536 1668 1984 2048 2224 2976 3072 3336 3968 4096 4309 4448 5952 6144 6672 7936 8618 8896 11904 12288 12927 13344 15872 17236 17792 23808 25854 26688 31744 34472 35584 47616 51708 53376 63488 68944 71168 95232 103416 106752 126976 137888 142336 190464 206832 213504 275776 284672 380928 413664 427008 551552 569344 827328 854016 1103104 1654656 1708032 2206208 3309312 4412416 6618624 8824832 13237248 17649664 26474496 52948992