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534450048 = 27311294363
BaseRepresentation
bin11111110110110…
…000111110000000
31101020122212122020
4133312300332000
52043304400143
6125011041440
716146515256
oct3766607600
91336585566
10534450048
11254757260
1212aba0280
1386957742
1450da25d6
1531dc0883
hex1fdb0f80

534450048 has 128 divisors (see below), whose sum is σ = 1602460800. Its totient is φ = 156334080.

The previous prime is 534450023. The next prime is 534450061. The reversal of 534450048 is 840054435.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120315 + ... + 124677.

It is an arithmetic number, because the mean of its divisors is an integer number (12519225).

Almost surely, 2534450048 is an apocalyptic number.

534450048 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 534450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801230400).

534450048 is an abundant number, since it is smaller than the sum of its proper divisors (1068010752).

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

534450048 is a wasteful number, since it uses less digits than its factorization.

534450048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 534450048 is about 23118.1757065734. The cubic root of 534450048 is about 811.5258785071.

The spelling of 534450048 in words is "five hundred thirty-four million, four hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 128 132 174 176 192 232 264 319 348 352 384 464 528 638 696 704 928 957 1056 1276 1392 1408 1856 1914 2112 2552 2784 3712 3828 4224 4363 5104 5568 7656 8726 10208 11136 13089 15312 17452 20416 26178 30624 34904 40832 47993 52356 61248 69808 95986 104712 122496 126527 139616 143979 191972 209424 253054 279232 287958 379581 383944 418848 506108 558464 575916 759162 767888 837696 1012216 1151832 1391797 1518324 1535776 1675392 2024432 2303664 2783594 3036648 3071552 4048864 4175391 4607328 5567188 6073296 6143104 8097728 8350782 9214656 11134376 12146592 16195456 16701564 18429312 22268752 24293184 33403128 44537504 48586368 66806256 89075008 133612512 178150016 267225024 534450048