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2948496552 = 233431373967
BaseRepresentation
bin1010111110111110…
…0111110010101000
321121111010010220000
42233233213302220
522014303342202
61204324303000
7133031543601
oct25757476250
97544103800
102948496552
111283393111
126a3541a60
1337cb20a21
141dd83ada8
15123cbd91c
hexafbe7ca8

2948496552 has 160 divisors (see below), whose sum is σ = 8757534720. Its totient is φ = 925188480.

The previous prime is 2948496547. The next prime is 2948496563. The reversal of 2948496552 is 2556948492.

2948496552 is a `hidden beast` number, since 2 + 9 + 4 + 84 + 9 + 6 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 741273 + ... + 745239.

It is an arithmetic number, because the mean of its divisors is an integer number (54734592).

Almost surely, 22948496552 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 2948496552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378767360).

2948496552 is an abundant number, since it is smaller than the sum of its proper divisors (5809038168).

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

2948496552 is a wasteful number, since it uses less digits than its factorization.

2948496552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053 (or 4040 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 2948496552 is about 54300.0603314582. The cubic root of 2948496552 is about 1433.9484584335.

It can be divided in two parts, 294849 and 6552, that added together give a square (301401 = 5492).

The spelling of 2948496552 in words is "two billion, nine hundred forty-eight million, four hundred ninety-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 37 54 62 72 74 81 93 108 111 124 148 162 186 216 222 248 279 296 324 333 372 444 558 648 666 744 837 888 999 1116 1147 1332 1674 1998 2232 2294 2511 2664 2997 3348 3441 3967 3996 4588 5022 5994 6696 6882 7934 7992 9176 10044 10323 11901 11988 13764 15868 20088 20646 23802 23976 27528 30969 31736 35703 41292 47604 61938 71406 82584 92907 95208 107109 122977 123876 142812 146779 185814 214218 245954 247752 285624 293558 321327 368931 371628 428436 440337 491908 587116 642654 737862 743256 856872 880674 983816 1106793 1174232 1285308 1321011 1475724 1761348 2213586 2570616 2642022 2951448 3320379 3522696 3963033 4427172 4550149 5284044 6640758 7926066 8854344 9100298 9961137 10568088 11889099 13281516 13650447 15852132 18200596 19922274 23778198 26563032 27300894 31704264 36401192 39844548 40951341 47556396 54601788 79689096 81902682 95112792 109203576 122854023 163805364 245708046 327610728 368562069 491416092 737124138 982832184 1474248276 2948496552