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4807040 = 27572937
BaseRepresentation
bin10010010101100110000000
3100001020000112
4102111212000
52212311130
6251010452
755600460
oct22254600
910036015
104807040
112793667
121739a28
13cc4004
148d1ba0
1564e495
hex495980

4807040 has 128 divisors (see below), whose sum is σ = 13953600. Its totient is φ = 1548288.

The previous prime is 4807031. The next prime is 4807063. The reversal of 4807040 is 407084.

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

It is a super-3 number, since 3×48070403 (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4806997 and 4807015.

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, 129902 + ... + 129938.

Almost surely, 24807040 is an apocalyptic number.

4807040 is a gapful number since it is divisible by the number (40) 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 4807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976800).

4807040 is an abundant number, since it is smaller than the sum of its proper divisors (9146560).

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

4807040 is a wasteful number, since it uses less digits than its factorization.

4807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 4807040 is about 2192.4962941816. The cubic root of 4807040 is about 168.7689617467.

The spelling of 4807040 in words is "four million, eight hundred seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 37 40 56 58 64 70 74 80 112 116 128 140 145 148 160 185 203 224 232 259 280 290 296 320 370 406 448 464 518 560 580 592 640 740 812 896 928 1015 1036 1073 1120 1160 1184 1295 1480 1624 1856 2030 2072 2146 2240 2320 2368 2590 2960 3248 3712 4060 4144 4292 4480 4640 4736 5180 5365 5920 6496 7511 8120 8288 8584 9280 10360 10730 11840 12992 15022 16240 16576 17168 18560 20720 21460 23680 25984 30044 32480 33152 34336 37555 41440 42920 60088 64960 68672 75110 82880 85840 120176 129920 137344 150220 165760 171680 240352 300440 343360 480704 600880 686720 961408 1201760 2403520 4807040