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870807552 = 2113271523
BaseRepresentation
bin110011111001110…
…111100000000000
32020200120121101120
4303321313200000
53240411320202
6222224232240
730402512346
oct6371674000
92220517346
10870807552
1140760366a
1220376b680
1310b545154
148391b996
15516b20bc
hex33e77800

870807552 has 96 divisors (see below), whose sum is σ = 2334608640. Its totient is φ = 288645120.

The previous prime is 870807551. The next prime is 870807589. The reversal of 870807552 is 255708078.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870807551) 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, 1664763 + ... + 1665285.

It is an arithmetic number, because the mean of its divisors is an integer number (24318840).

Almost surely, 2870807552 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 870807552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167304320).

870807552 is an abundant number, since it is smaller than the sum of its proper divisors (1463801088).

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

870807552 is a wasteful number, since it uses less digits than its factorization.

870807552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The square root of 870807552 is about 29509.4485207704. The cubic root of 870807552 is about 954.9355518764.

The spelling of 870807552 in words is "eight hundred seventy million, eight hundred seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 271 384 512 523 542 768 813 1024 1046 1084 1536 1569 1626 2048 2092 2168 3072 3138 3252 4184 4336 6144 6276 6504 8368 8672 12552 13008 16736 17344 25104 26016 33472 34688 50208 52032 66944 69376 100416 104064 133888 138752 141733 200832 208128 267776 277504 283466 401664 416256 425199 535552 555008 566932 803328 832512 850398 1071104 1133864 1606656 1665024 1700796 2267728 3213312 3401592 4535456 6803184 9070912 13606368 18141824 27212736 36283648 54425472 72567296 108850944 145134592 217701888 290269184 435403776 870807552