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8970048 = 263329179
BaseRepresentation
bin100010001101…
…111101000000
3121212201121000
4202031331000
54244020143
6520132000
7136146513
oct42157500
917781530
108970048
11507736a
123007000
131b20b29
141296d7a
15bc2bd3
hex88df40

8970048 has 112 divisors (see below), whose sum is σ = 27432000. Its totient is φ = 2870784.

The previous prime is 8970047. The next prime is 8970089. The reversal of 8970048 is 8400798.

It is a super-2 number, since 2×89700482 = 160923522244608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8969994 and 8970021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8970041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50023 + ... + 50201.

Almost surely, 28970048 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 8970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716000).

8970048 is an abundant number, since it is smaller than the sum of its proper divisors (18461952).

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

8970048 is a wasteful number, since it uses less digits than its factorization.

8970048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8970048 is about 2995.0038397304. The cubic root of 8970048 is about 207.7773752194. Note that the first 3 decimals are identical.

The spelling of 8970048 in words is "eight million, nine hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 179 192 216 232 261 288 348 358 432 464 522 537 576 696 716 783 864 928 1044 1074 1392 1432 1566 1611 1728 1856 2088 2148 2784 2864 3132 3222 4176 4296 4833 5191 5568 5728 6264 6444 8352 8592 9666 10382 11456 12528 12888 15573 16704 17184 19332 20764 25056 25776 31146 34368 38664 41528 46719 50112 51552 62292 77328 83056 93438 103104 124584 140157 154656 166112 186876 249168 280314 309312 332224 373752 498336 560628 747504 996672 1121256 1495008 2242512 2990016 4485024 8970048