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5652277248 = 21132931723
BaseRepresentation
bin1010100001110011…
…01110100000000000
3112120220202102201210
411100321232200000
543033440332443
62332511530120
7260032364262
oct52071564000
915526672653
105652277248
112440621612
121118b29940
136c102c267
143b8975b32
1523134dc33
hex150e6e800

5652277248 has 96 divisors (see below), whose sum is σ = 15589173600. Its totient is φ = 1819066368.

The previous prime is 5652277243. The next prime is 5652277259. The reversal of 5652277248 is 8427722565.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 5652277197 and 5652277206.

It is not an unprimeable number, because it can be changed into a prime (5652277243) 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, 162315 + ... + 194037.

It is an arithmetic number, because the mean of its divisors is an integer number (162387225).

Almost surely, 25652277248 is an apocalyptic number.

5652277248 is a gapful number since it is divisible by the number (58) 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 5652277248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7794586800).

5652277248 is an abundant number, since it is smaller than the sum of its proper divisors (9936896352).

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

5652277248 is a wasteful number, since it uses less digits than its factorization.

5652277248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31777 (or 31757 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 48.

The square root of 5652277248 is about 75181.6283941762. The cubic root of 5652277248 is about 1781.3167515717.

The spelling of 5652277248 in words is "five billion, six hundred fifty-two million, two hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2048 2784 3072 3712 5568 6144 7424 11136 14848 22272 29696 31723 44544 59392 63446 89088 95169 126892 178176 190338 253784 380676 507568 761352 919967 1015136 1522704 1839934 2030272 2759901 3045408 3679868 4060544 5519802 6090816 7359736 8121088 11039604 12181632 14719472 16242176 22079208 24363264 29438944 32484352 44158416 48726528 58877888 64968704 88316832 97453056 117755776 176633664 194906112 235511552 353267328 471023104 706534656 942046208 1413069312 1884092416 2826138624 5652277248