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842557872 = 243134132933
BaseRepresentation
bin110010001110000…
…110100110110000
32011201102101010010
4302032012212300
53211143322442
6215334534520
726610423642
oct6216064660
92151371103
10842557872
113a2669222
121b6207440
13105733a70
147dc86892
154de81b9c
hex323869b0

842557872 has 80 divisors (see below), whose sum is σ = 2401283808. Its totient is φ = 252917760.

The previous prime is 842557871. The next prime is 842557879. The reversal of 842557872 is 278755248.

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

It is not an unprimeable number, because it can be changed into a prime (842557871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9118 + ... + 42050.

Almost surely, 2842557872 is an apocalyptic number.

842557872 is a gapful number since it is divisible by the number (82) 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 842557872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200641904).

842557872 is an abundant number, since it is smaller than the sum of its proper divisors (1558725936).

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

842557872 is a wasteful number, since it uses less digits than its factorization.

842557872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32998 (or 32992 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The square root of 842557872 is about 29026.8474347456. The cubic root of 842557872 is about 944.4955444288.

The spelling of 842557872 in words is "eight hundred forty-two million, five hundred fifty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 984 1066 1599 1968 2132 3198 4264 6396 8528 12792 25584 32933 65866 98799 131732 197598 263464 395196 428129 526928 790392 856258 1284387 1350253 1580784 1712516 2568774 2700506 3425032 4050759 5137548 5401012 6850064 8101518 10275096 10802024 16203036 17553289 20550192 21604048 32406072 35106578 52659867 64812144 70213156 105319734 140426312 210639468 280852624 421278936 842557872